{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T03:15:54.166769Z",
     "start_time": "2018-07-30T03:15:51.954418Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import gc\n",
    "import os\n",
    "from multiprocessing import Pool, cpu_count\n",
    "NTHREAD = cpu_count()\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "from matplotlib import pyplot as plt\n",
    "import utils"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T03:53:37.217423Z",
     "start_time": "2018-07-30T03:53:37.158513Z"
    }
   },
   "outputs": [],
   "source": [
    "def feature_vs_y(feature, y, feature_name=None, kind='kde', bw_method=None, bins=100):\n",
    "    \n",
    "    if feature_name is None:\n",
    "        feature_name = feature.name\n",
    "    \n",
    "    df = y.to_frame('y')\n",
    "    df[feature_name] = feature\n",
    "    y0 = df[df.y==0]\n",
    "    y1 = df[df.y==1]\n",
    "    y0[feature_name].name = 'Actual:0'\n",
    "    y1[feature_name].name = 'Actual:1'\n",
    "    if kind=='kde':\n",
    "        y0[feature_name].plot(kind='kde', legend=True, bw_method=bw_method)\n",
    "        y1[feature_name].plot(kind='kde', legend=True, bw_method=bw_method)\n",
    "    elif kind=='hist':\n",
    "        y0[feature_name].plot(kind='hist',legend=True, bins=bins)\n",
    "        y1[feature_name].plot(kind='hist',legend=True, bins=bins)\n",
    "        \n",
    "    plt.xlabel(f'{feature_name}')\n",
    "    plt.title(f'{feature_name} Distribution', fontsize=13, alpha=0.5)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T03:20:35.964250Z",
     "start_time": "2018-07-30T03:19:11.062270Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 20/20 [00:00<00:00, 27.77it/s]\n",
      "100%|██████████| 20/20 [00:00<00:00, 194.73it/s]\n",
      "100%|██████████| 20/20 [01:02<00:00,  3.12s/it]\n",
      "100%|██████████| 20/20 [00:21<00:00,  1.08s/it]\n"
     ]
    }
   ],
   "source": [
    "train = utils.load_train(['SK_ID_CURR', 'TARGET'])\n",
    "test = utils.load_test(['SK_ID_CURR'])\n",
    "prev = utils.read_pickles('../data/previous_application', ['SK_ID_CURR', 'SK_ID_PREV'])\n",
    "bure = utils.read_pickles('../data/bureau', ['SK_ID_CURR', 'SK_ID_BUREAU'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T03:40:49.390979Z",
     "start_time": "2018-07-30T03:40:48.951364Z"
    }
   },
   "outputs": [],
   "source": [
    "prev['data'] = 'train'\n",
    "prev.loc[prev.SK_ID_CURR.isin(test.SK_ID_CURR), 'data'] = 'test'\n",
    "\n",
    "bure ['data'] = 'train'\n",
    "bure.loc[bure.SK_ID_CURR.isin(test.SK_ID_CURR), 'data'] = 'test'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T03:40:53.986096Z",
     "start_time": "2018-07-30T03:40:53.638948Z"
    }
   },
   "outputs": [],
   "source": [
    "prev_ = pd.merge(prev, train, on='SK_ID_CURR', how='inner')\n",
    "bure_ = pd.merge(bure, train, on='SK_ID_CURR', how='inner')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T03:40:55.021496Z",
     "start_time": "2018-07-30T03:40:55.012831Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SK_ID_CURR</th>\n",
       "      <th>SK_ID_PREV</th>\n",
       "      <th>data</th>\n",
       "      <th>TARGET</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>100002</td>\n",
       "      <td>1038818</td>\n",
       "      <td>train</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>100003</td>\n",
       "      <td>2396755</td>\n",
       "      <td>train</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>100003</td>\n",
       "      <td>2636178</td>\n",
       "      <td>train</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>100003</td>\n",
       "      <td>1810518</td>\n",
       "      <td>train</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>100004</td>\n",
       "      <td>1564014</td>\n",
       "      <td>train</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   SK_ID_CURR  SK_ID_PREV   data  TARGET\n",
       "0      100002     1038818  train       1\n",
       "1      100003     2396755  train       0\n",
       "2      100003     2636178  train       0\n",
       "3      100003     1810518  train       0\n",
       "4      100004     1564014  train       0"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prev_.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T03:48:33.338653Z",
     "start_time": "2018-07-30T03:48:33.324011Z"
    }
   },
   "outputs": [],
   "source": [
    "train.set_index('SK_ID_CURR', inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T03:50:02.843923Z",
     "start_time": "2018-07-30T03:50:01.834895Z"
    }
   },
   "outputs": [],
   "source": [
    "train['SK_ID_PREV_min'] = prev_.groupby('SK_ID_CURR').SK_ID_PREV.min()\n",
    "train['SK_ID_PREV_mean'] = prev_.groupby('SK_ID_CURR').SK_ID_PREV.mean()\n",
    "train['SK_ID_PREV_max'] = prev_.groupby('SK_ID_CURR').SK_ID_PREV.max()\n",
    "train['SK_ID_PREV_median'] = prev_.groupby('SK_ID_CURR').SK_ID_PREV.median()\n",
    "train['SK_ID_PREV_std'] = prev_.groupby('SK_ID_CURR').SK_ID_PREV.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T04:09:53.677542Z",
     "start_time": "2018-07-30T04:09:52.630447Z"
    }
   },
   "outputs": [],
   "source": [
    "train['SK_ID_PREV_std-d-mean'] = train['SK_ID_PREV_std'] / train['SK_ID_PREV_mean']\n",
    "train['SK_ID_PREV_max-m-min'] = train['SK_ID_PREV_max'] - train['SK_ID_PREV_min']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T04:01:15.555279Z",
     "start_time": "2018-07-30T04:01:14.722259Z"
    }
   },
   "outputs": [],
   "source": [
    "train['SK_ID_BUREAU_min'] = bure_.groupby('SK_ID_CURR').SK_ID_BUREAU.min()\n",
    "train['SK_ID_BUREAU_mean'] = bure_.groupby('SK_ID_CURR').SK_ID_BUREAU.mean()\n",
    "train['SK_ID_BUREAU_max'] = bure_.groupby('SK_ID_CURR').SK_ID_BUREAU.max()\n",
    "train['SK_ID_BUREAU_median'] = bure_.groupby('SK_ID_CURR').SK_ID_BUREAU.median()\n",
    "train['SK_ID_BUREAU_std'] = bure_.groupby('SK_ID_CURR').SK_ID_BUREAU.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T04:13:32.598881Z",
     "start_time": "2018-07-30T04:13:32.586239Z"
    }
   },
   "outputs": [],
   "source": [
    "train['SK_ID_BUREAU_std-d-mean'] = train['SK_ID_BUREAU_std'] / train['SK_ID_BUREAU_mean']\n",
    "train['SK_ID_BUREAU_max-m-min'] = train['SK_ID_BUREAU_max'] - train['SK_ID_BUREAU_min']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T04:13:32.582923Z",
     "start_time": "2018-07-30T04:10:49.185475Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8f6a37c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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A/kBFK33DLS8HMlyMlmOFGyOcM4CTRaQEeBsYJyKvt/pKjYkRKav+TiOJDDj7GyHXjzuuL9kZvXmhRGHM+bBqAbhzF8bEsmgWqw+APDdLLwVvwsTCFm0WAte5x1cCi12lXQjMdjP5RgF5wLJwMV2fJS4GLuZzbYwRkqr+WVWHqWoucBawQVXP7dQWMKYLVRysZlr1q5Rknn3EuapgIsL54wfzTnE59ROvhIOlsP39Ls7UmI6LWrFS7/zQLcAiYB3wpKquEZGfichlrtkjQJaIFONNaLjL9V0DPAmsBV4CblbVpnAxXaw7gdtdrCwXO+wYAG7v6XfA9SJS6mYhGhOX1r/9DAPlIIlTr2m13XnjB1FT38SylFMhIRk2ROdLnMZEUlS/FKyqLwAvtFj2o6DHtXjnoUL1/SXwy/bEdMs3480WbLm8tTFy28i/hBDT2o2JRQnrFnKQPow8reWk2yOdMXogqUkJvLrpMGeNPAM2vgIX/KyLsjSmc+xyS8Z0A/X19Yw/+A7FGWeSkJzSatveKYlMG5PFGxvKIO9C2LsW9m9vtY8xfrNiZUw3ULT0JTKkisT8z7er/bQxA9lSXk354GnegpK3o5idMcfOipUx3UDNx89Rq8mMm3Z5242BM8Z4XzV8++BgSO0P296NZnomSmLhFiEzZswgIyMj7PpIsWJlTJzTQICR5W+wNu0UevdNb1efCUPTSe+VxHubK2HEabDNZgTGI79vEQJwxx138Pjjj0cldjArVsbEua0bPmKIllE/5rPt7pOYIJw2Oov3Nu+DEWdA+QaoLo9ilibSYuEWIQDTp0+nX79+UXmNwewWIcbEudLCf5ELjDm1feermp0xOotX1u6hLOtkBgFsew8mdCyGAV68C3avimzMISfAxb9qtUks3CKkK1mxMibO9d7+BjsShpE9YlzbjYM0n7d6p3o4lyckQ2mhFas4MnfuXG677Tbg01uEBAKBY75FyHXXXcfGjRsRERoaGo5qE3yLkK5kxcqYOHawqooJtR9RNOSyo64S3ZZxx/WjX2oShTuquXzwBNi1Mio5dntt7AFFQ6zcIqQr2TkrY+JY0QevkSZ1pOVf0OG+iQnClBEZLN+6H4ZNgZ0rIfyVyEwMiZVbhHQlK1bGxLHqosU0qTCqoHP3EJo6YgBFuw9SO+gEqN0P+7dFOEMTDbFyixCAs88+m1mzZvHaa6+Rk5PDokWLovCKQVq5pqvpgIKCAi0sLPQ7DdPDfPjzM8lIrGPUPZ37v/fmhjKufXQZz87sxZRFX4Qv/Q3yW79ck4F169YxYcIEv9OIO6G2m4gsV9XWZ35ge1bGxK3SskomNBZRfdxRl8RstykjMhCBd6qOg4Qk71CgMTHIipUxcWrdirfoJQ1k5n+m0zHSeyVz/HH9WLa9BgaNj/wUbGMixIqVMXGqZuNbAAw94bxjijN15ABWbKtEB02AstYv22M+ZadQOuZYt5cVK2PikKqStW85e1KGI30HH1OsqSMGcKi2kfI+Y+DAdqg9GKEsu69evXqxb98+K1jtpKrs27ePXr16dTqGfc/KmDi0fV81kwLrKRt8IccdY6yTRw4AYG1jNp8Bb+9qeOfPg/UEOTk5lJaWUlZW5ncqcaNXr17k5OR0ur8VK2Pi0No1K5kh1dSOOeOYY+VmpZGRlsz7VYO9YrV3rRWrNiQnJzNq1Ci/0+hR7DCgMXGocuN7AAweP+2YY4kIk3MyeH13L0juA3vXHXNMYyItqsVKRGaISJGIFIvIXSHWp4rIfLd+qYjkBq272y0vEpGL2oopIqNcjI0uZkprY4hIlogsEZEqEbk/KE6aiPxLRNaLyBoR6fprqRjThuQ9H1EnqSQMjsx3fU7M6c+GshqaBh3v7VkZE2OiVqxEJBF4ALgYyAeuEpH8Fs1uACpVdSxwH3Cv65sPzAYmAjOAP4lIYhsx7wXuU9U8oNLFDjsGUAv8EPheiPR/o6rjgZOAM0Xk4s5vCWMia++hWnLriqhInwCJkTmSf2JOBk0BpaLPWNuzMjEpmntWpwLFqrpZVeuBeUDLr8bPBOa4xwuA6eJdhXEmME9V61R1C1Ds4oWM6fqc72LgYl7e2hiqWq2qb+MVrU+oao2qLnGP64EVQOfPChoTYYWbypgoJSTkTI1YzMnD+wOwieFQXQZVNnHAxJZoFqtsYHvQ81K3LGQbVW0EDgBZrfQNtzwL2O9itBwr3BhtEpEM4PPAa2HW3ygihSJSaLOCTFcp3bCC3lJPVt7pEYs5uF8vhvXvxfLDQ70FZbZ3ZWJLNItVqOvUt/xSQrg2kVre3jyOIiJJwFzgD6q6OVQbVX1IVQtUtWDQoEFthTQmIpq2e1fLThre5uXUOmRyTgav7nP3P7JDgSbGRLNYlQLDg57nADvDtXHFoT9Q0UrfcMvLgQwXo+VY4cZoy0PARlX9n3a0NaZLNDYFyDywmsOJ/SBzdERjTx7enw8rUwn0yrArWZiYE81i9QGQ52bppeBNmFjYos1C4Dr3+EpgsXpfCV8IzHYz+UYBecCycDFdnyUuBi7mc22MEZaI/AKvqN3WiddtTNRs2FNFPpuoypwI7bjJXkdMyckAhEP9xkBZUURjG3OsovalYFVtFJFbgEVAIvCoqq4RkZ8Bhaq6EHgEeFxEivH2dma7vmtE5ElgLdAI3KyqTQChYroh7wTmuULzoYtNuDFcrBIgHUgRkcuBC4GDwA+A9cAKd9fN+1W16+/jbEwLH28r5wuyg9rszt2/qjWTcrxJFtsTR9C/7M2IxzfmWET1Chaq+gLwQotlPwp6XAvMCtP3l8Av2xPTLd+MN1uw5fLWxsgNk3pkP7IaEyE7Nq0mVRpIyT0p4rHTeyUzZlAfVtcPYVLNPqguhz4DIz6OMZ1hV7AwJo7U7/Ru4SFDJkUl/ok5Gby13xUoO29lYogVK2PiRG1DE/0PbqBJEmHguKiMMTmnP8tr3FXcrViZGGLFypg4Uby3inFspbrfaEhKjcoYJw7PYDeZNCb1sUkWJqZYsTImThTtPsSEhG3IcdE5BAgwYWg6SQkJ7O2Va3tWJqZYsTImTmzdsYNs2Ufa8MlRG6NXciJ5x/WjWHNsz8rEFCtWxsSJw6Xe5IrEodErVgATh6WzomYwVO2BmvZ8f96Y6LNiZUycSNnnbt1x3MSojjNxWDor64Z4T8o3RHUsY9rLipUxcWB/TT3ZdZs5nJwB/YZEdaxJ2f29w4Bg561MzLBiZUwc8CZXbKd2wPiIX2appQlD09lJFg0Jvey8lYkZVqyMiQMbdu/neNlOSvYJUR+rb2oSI7P6sTN5hO1ZmZhhxcqYOLB3WxFpUhfVmYDBJg5LZ23DMNuzMjHDipUxcSCwazVAVL9jFWzisP58XDcEDu6A2oNdMqYxrbFiZUyMU1X67i8iQAIMntAlY04cls5GdTfbthmBJgZYsTImxu08UMvoQAmH+oyA5N5dMuYRxcrOW5kYYMXKmBhXtPsgx8t2mgZ2zV4VQFbfVBr7DadBkq1YmZhgxcqYGFdcuocRspe04Sd26bgTsgewVeyySyY2WLEyJsZVbV9Fgii9umDaerCJw/qztmEogb22Z2X8Z8XKmBiXsLf5Mkv5XTruxGHpbAhkk3BgG9RXd+nYxrQU1WIlIjNEpEhEikXkrhDrU0Vkvlu/VERyg9bd7ZYXichFbcUUkVEuxkYXM6W1MUQkS0SWiEiViNzfIq+TRWSV6/MHkShfMsCYMBqaAgyoKqY+oTdk5Hbp2Pk2I9DEkKgVKxFJBB4ALgbygatEpOVHwxuASlUdC9wH3Ov65gOzgYnADOBPIpLYRsx7gftUNQ+odLHDjgHUAj8Evhci/T8DNwJ57mdGZ7eDMcdiS3k149hGVf88SOjaAyHZGb3ZlTLSe2LnrYzPovm//1SgWFU3q2o9MA+Y2aLNTGCOe7wAmO72YmYC81S1TlW3AMUuXsiYrs/5LgYu5uWtjaGq1ar6Nl7R+oSIDAXSVfU9VVXgb0GxjOlS63cd5PiEbUiUr7QeiojQd0geDSTZjEDju2gWq2xge9DzUrcsZBtVbQQOAFmt9A23PAvY72K0HCvcGK3lXdpG3sZ0idLtW8iUKvqN6JrLLLU0blgmJToEtUkWxmfRLFahzvNoO9tEanl782hPTkc3FLlRRApFpLCsrKyVkMZ0Tl3pxwAkDe3amYDN8oelUxTIpnGPFSvjr2gWq1JgeNDzHGBnuDYikgT0Bypa6RtueTmQ4WK0HCvcGK3lndNG3gCo6kOqWqCqBYMGDWolpDGdk1LhioQPhwEB8oemU6zZJB3YCg2HfcnBGIhusfoAyHOz9FLwJkwsbNFmIXCde3wlsNidJ1oIzHYz+UbhTXJYFi6m67PExcDFfK6NMUJS1V3AIRE53Z0LuzYoljFd5lBtA0NqN1OdMhDSMn3JYezgvmwmByEA+4p9ycEYgKS2m3SOqjaKyC3AIiAReFRV14jIz4BCVV0IPAI8LiLFeHs7s13fNSLyJLAWaARuVtUmgFAx3ZB3AvNE5BfAhy424cZwsUqAdCBFRC4HLlTVtcC/A48BvYEX3Y8xXWrDnkOMl23UZk6gj0859EpOpDZjHFThzQgc4s/hSGOiVqwAVPUF4IUWy34U9LgWmBWm7y+BX7Ynplu+GW+2YMvlrY2RG2Z5IdA192IwJoz1Oyq5UnZSn32Jr3n0GzaOxg0JJNmMQOMju4KFMTGqfNtaUqWBvl10w8Vwjs8ZyNbAcdTvWutrHqZns2JlTIwK7FwFdN0NF8OZMDSdjZpjMwKNr6xYGRODAgEl48BaGiW5y264GI5XrLLpdagEGut9zcX0XFasjIlBO/YfJi+wmQPp4yAx2ddcBvZNZW9qLgnaBBWbfM3F9FxWrIyJQet2HmBSQgk6xN/zVZ8YPN771yZZGJ9YsTImBu3YuoEMqaZf7sl+pwJAxvAJNKnQtHud36mYHsqKlTExqH77CgBSh0/1ORNPXvZgtupxVJeu8jsV00NZsTImBvUuX0MTCV1+w8Vw8oems15HIHvXtN3YmCiwYmVMjDlQ08Dwug3s7zMaknv7nQ4Aowb2YaOMpG+13TXY+MOKlTExZlXpfiYlbKHxuBiZXAEkJghVGeMRFPbaeSvT9axYGRNjircUM0gO0m9UbEyuaJY8zPtysu5e7XMmpieyYmVMjKkpWQ5A2ojYKlZDR4zjkPampvQjv1MxPZAVK2NiTK+yjwkgMCS2rqU8YVgGRTqc+h02I9B0PStWxsSQyup6RtZtYH/aKEjt53c6Rxg/NJ11gRGkVayD8LeEMyYqrFgZE0NWle5ncsImGodM8TuVo/RNTWJv2lhSm6rgQKnf6ZgexoqVMTFky+Yib3LFmNP8TiWkpkHue1977PtWpmu1q1iJyFMi8jkRseJmTBQdLvkAgN4jC3zOJLT0Ed50+vqdH/ucielp2lt8/gx8BdgoIr8SkfFRzMmYHqtP+cc0kQg+38MqnDHDh7EtMIiqbTYj0HStdhUrVX1VVa8GpgIlwCsi8q6IfE1E/L1/gTHdRHlVHaPqN1DRbxwk9/I7nZDyh6WzTkeSaJddMl2s3Yf1RCQLuB74OvAh8Hu84vVKK31miEiRiBSLyF0h1qeKyHy3fqmI5Aatu9stLxKRi9qKKSKjXIyNLmbKMYzxHRFZIyKrRWSuiMTmO4fpVj7eXsHkhC0Ehsbe5Ipmw/r3YktiLv2qt0LDYb/TMT1Ie89ZPQ28BaQBn1fVy1R1vqp+C+gbpk8i8ABwMZAPXCUiLa/KeQNQqapjgfuAe13ffGA2MBGYAfxJRBLbiHkvcJ+q5gGVLnZnxsgGvg0UqOokING1MyaqthStIl1qyBgbm5MrAESE6ozxJBCwe1uZLtXePauHVTVfVf9LVXeBt8cCoKrhzgSfChSr6mZVrQfmATNbtJkJzHGPFwDTRUTc8nmqWqeqW4BiFy9kTNfnfBcDF/PyTo4BkAT0FpEkvAK9s53byZhOO1xSCEDqiNicXNEsJfsEAAJ22SXThdpbrH4RYtl7bfTJBrYHPS91y0K2UdVG4ACQ1UrfcMuzgP0uRsuxOjSGqu4AfgNsA3YBB1T15VAvUERuFJFCESksKysLuyGMaUvGY7zCAAAgAElEQVRjU4B+lauol1QYNMHvdFp1XO4EajSVQyUf+p2K6UFaLVYiMkRETsbbyzhJRKa6n3Px9jha7R5iWcuvvYdrE6nlHR5DRAbg7XWNAoYBfUTkmhBtUdWHVLVAVQsGDRoUqokx7VK05xD5WsyhAfmQmOR3Oq3Kd5ddathle1am67T1V3ER3qSKHOB3QcsPAfe00bcUGB70PIejD6c1tyl1h9z6AxVt9A21vBzIEJEkt/cU3L6jY3wW2KKqZfDJ+bppwBNtvF5jOu3DknKukBIaR1zrdyptyjuuL8/oCI6vXO5ddklCfe4zJrJa3bNS1Tmqeh5wvaqeF/Rzmao+3UbsD4A8N0svBW+SwsIWbRYC17nHVwKLVVXd8tluJt8oIA9YFi6m67PExcDFfK6TY2wDTheRNHduazpgN/AxUbVz40p6Sz19R53idyptSk1KZF/fPNIaD8Ch3X6nY3qIVvesROQaVX0CyBWR21uuV9XfhejWvK5RRG4BFuHNqHtUVdeIyM+AQlVdCDwCPC4ixXh7O7Nd3zUi8iSwFmgEblbVJpfTUTHdkHcC80TkF3hT6x9xyzs6xlIRWQCscMs/BB5qbTsZc6x0h3dbEMmOrduChBMYPBG24l12KX2o3+mYHqCtw4B93L8hp6e3RVVfAF5osexHQY9rgVlh+v4S+GV7Yrrlm/l0Nl/w8s6M8WPgx6H6GBNp5VV1ZNespy61L6mZY/xOp136jTgRtkLN9pWk5X3W73RMD9BqsVLVv7h/f9o16RjT83y4bT+TEzZTN3gyqQnxcfnNvJE5lL45kJStH7U508qYSGjvl4J/LSLpIpIsIq+JSHm4GXLGmI75qGQP42Ubabmxf76q2eSc/hQFhpNQZjMCTddo78e4C1X1IHAp3iy6ccAdUcvKmB5k36YVpEgTSTlT/U6l3fr1SmZ32jgG1JTYZZdMl2hvsWq+WO0lwFxVrYhSPsb0KA1NAXqXrfSeZMdPsQIIDJlMIgECu+2itib62lusnheR9UAB8JqIDAJqo5eWMT3D+l2HmBDYRF1KJvQf3naHGDJgjHfYsnzjMp8zMT1Be28RchdwBt7FXRuAao6+zp8xpoNWbKtkcsJmdNhJcffl2vHH57Nf+3CoZLnfqZgeoCPXdZmA932r4D5/i3A+xvQoq7bs4JqEnSSMvNrvVDps9KC+LJPRZNskC9MF2lWsRORxYAywEmhyixUrVsYck8NbV5BIAIbF1/kqgIQEoTJ9PFMPPgtNDZBo92E10dPePasCIN9dpsgYEwF7D9UypHqdN30pziZXNEvOOYmUtf+gYusqMkfH52sw8aG9EyxWA0OimYgxPc3ykkpOTNhMfZ9h0Hew3+l0ytDx3kVjtq153+dMTHfX3j2rgcBaEVkG1DUvVNXLopKVMT3AspIKrk/YTNLwo64SFjfGTZhCjaZSu22F36mYbq69xeon0UzCmJ5o/eZtjJQ9cXsIECA5OZktqWPoU7HW71RMN9feqetvACVAsnv8Ad5VyY0xnVBV10jyHvdl4GEn+ZvMMarNmsioxk1UVtlXL030tPfagN8AFgB/cYuygWejlZQx3d2H2yqZJJu9J3FerPqOKqCv1LJm9Uq/UzHdWHsnWNwMnAkcBFDVjUB8nhE2JgZ8sKWCExM2ExgwBnpn+J3OMcnJPw2APRvsShYmetpbrOpUtb75iftisE1jN6aTPthSQUHSZhJy4uNmi61JGTKRRpLQnbZnZaKnvcXqDRG5B+gtIhcA/wCej15axnRf9Y0B9pRuJEsrII5nAn4iKYXyvnlk16zjYG2D39mYbqq9xeouoAxYBXwT7069/xGtpIzpztbsPMDEpiLvSU6Bv8lEiA4r4ATZzPLN5X6nYrqp9s4GDOBNqLhJVa9U1f9tz9UsRGSGiBSJSLGI3BVifaqIzHfrl4pIbtC6u93yIhG5qK2YIjLKxdjoYqYcwxgZIrJARNaLyDoROaM928mY9ninuJypCRvRpN5w3CS/04mIrOOn0Vdq2bSu0O9UTDfVarESz09EpBxYDxSJSJmI/KitwCKSCDwAXAzkA1eJSH6LZjcAlao6FrgPuNf1zQdmAxOBGcCfRCSxjZj3Avepah5Q6WJ3eAzX5/fAS6o6HjgRWNfW6zWmvd7YUMa0XluQ7Knd5np6KSO9w5l1JTbJwkRHW3tWt+HNAjxFVbNUNRM4DThTRL7TRt9TgWJV3ewmZ8zj6NuKzATmuMcLgOkiIm75PFWtU9UtQLGLFzKm63O+i4GLeXlnxhCRdOAc4BEAVa1X1f1tvFZj2uVgbQOrt+1lbNNmyImf29i3KWsMhxPTGbh/FTX1jX5nY7qhtorVtcBV7s0cAFXdDFzj1rUmG9ge9LzULQvZRlUbgQNAVit9wy3PAva7GC3H6ugYo/HOz/1VRD4UkYdFpE+oFygiN4pIoYgUlpWVhd8SxjjvFpeTr5tJ1MbuMbmimQiHB53IZClmxVb7bGcir61ilayqR50xVdUyPr3VfTih7iTX8jxXuDaRWt6ZMZKAqcCfVfUkvBtNHnW+DUBVH1LVAlUtGDRoUKgmxhzhjQ3lnJGyyXvSnfasgL5jTmeclLKieHvbjY3poLaKVX0n14G3pxJ8n+4cYGe4Nu67W/2Bilb6hlteDmQE3RgyeKzOjFGqqkvd8gV4xcuYY6KqvLmhjOl9t8CA3Li90no4KSNPJVGUig1L225sTAe1VaxOFJGDIX4OASe00fcDIM/N0kvBm8ywsEWbhcB17vGVwGI3y3AhMNvN5BsF5AHLwsV0fZa4GLiYz3VmDFXdDWwXkeNdn+mAXaXTHLNNZVXs3F9Nfv1qyD3L73QiL9v7gnOf8pXUNjS10diYjmn1quuqmtja+jb6NorILcAiIBF4VFXXiMjPgEJVXYg3ieFxESnG29uZ7fquEZEn8YpEI3CzqjYBhIrphrwTmCcivwA+dLHpzBjAt4D/cwVxM/C1zm4HY5q9saGc46WU1IYDkHu23+lEXp8savqOYPKBjazcvp/TR2f5nZHpRsRu/hsZBQUFWlho3zEx4V376DJO3TOfW+oehttWQ8bwtjvFmfoF3+Tgqhf4v7Ne49YLxvmdjokDIrJcVdv8dnx7r2BhjDkGtQ1NLN28j+m9N3rnq7phoQJIGX0mA+Ug24vtOoEmsqxYGdMFlm6poL6xkbE1H3XP81XNRp4JQNqupdQ3BnxOxnQnVqyM6QJvbihjStJ2kuv3d8/zVc0yR1OXOpApup5VO+z7ViZyrFgZ0wXe2FDGV7LcxWvHnO9vMtEkAiOncWrCepZuqfA7G9ONWLEyJsp27D9M8d4qzmYlDJ3S7b5f1VLqmLPIkXKKN9glNU3kWLEyJsre3FBGOlUcd/BjyLvA73Sib+Q0AJJL36exyc5bmciwYmVMlL1RVMZlfYsQDcDYHlCsBudTn5zOiYE1rN110O9sTDdhxcqYKGpoCvBOcTmX91sLvQd0m5sttiohER1+GqclrGfpZjtvZSLDipUxUbRy+36q6uo5oeYDb2JFQqcvChNXUvPOY0zCLjZstPNWJjKsWBkTRW9uKOOUxGJS68rh+Ev8TqfrjD4PgF7b3rTvW5mIsGJlTBS9saGMr/b/CBJTIO9Cv9PpOoMnUNtrEKcEPmLFtkq/szHdgBUrY6JkX1Udq3bs5zNN73uHAHul+51S1xEhccx5nJWwmjeK9vidjekGrFgZEyWL1+9lEltIr9sFEz7vdzpdLnncdDLlENvXLvM7FdMNWLEyJkpeXbeHWWkrUEnsWeermo0+F4DsivfZe6jW11RM/LNiZUwU1DY08eaGMi5NfB8ZdQ6kZfqdUtfrN4TaAcdzVsIq3tpQ7nc2Js5ZsTImCt7dVE5+4zoy63fC5C/5nY5vUsdN59TEIt5bv83vVEycs2JlTBS8vGYPX0p5B01O65Hnq5rJ8TNIpYHG4iV26SVzTKxYGRNhtQ1NvLJqK59PfB+Z8HlI7ed3Sv4ZOY2G5H6c0bCMD0psCrvpvKgWKxGZISJFIlIsIneFWJ8qIvPd+qUikhu07m63vEhELmorpoiMcjE2upgpnR3DrUsUkQ9F5J+R3Cam+1u8fi+n1n9AWqAKJn/Z73T8lZiM5F3IZxNX8MqaHX5nY+JY1IqViCQCDwAXA/nAVSKS36LZDUClqo4F7gPudX3zgdnARGAG8CdXPFqLeS9wn6rmAZUudofHCMrtVsCuFWM67OkVpXw19U2039BPZsT1ZEkTLiFLDrJj9duoqt/pmDgVzT2rU4FiVd2sqvXAPGBmizYzgTnu8QJguoiIWz5PVetUdQtQ7OKFjOn6nO9i4GJe3skxEJEc4HPAwxHaFqaH2F5Rw6b1HzNNP0ROvr7HXAuwVWM/S0CSOLHmPdbtOuR3NiZORbNYZQPbg56XumUh26hqI3AAyGqlb7jlWcB+F6PlWB0dA+B/gO8DrZ4RFpEbRaRQRArLyspaa2p6iDnvlvDVpFfRhCQ4+Xq/04kNvTNoHH4G0xNW8PLa3X5nY+JUNIuVhFjW8hhAuDaRWt7hMUTkUmCvqi4Psf7IxqoPqWqBqhYMGjSoreammztY28DCDzYyO/kNJP9y6DfE75RiRkr+5zg+oZQ1H6/wOxUTp6JZrEqB4UHPc4Cd4dqISBLQH6hopW+45eVAhovRcqyOjnEmcJmIlOAdZjxfRJ5o/8s2PdWjb2/hC40vkhaohtP/3e90Ykv+TBRhwr5X2FJe7Xc2Jg5Fs1h9AOS5WXopeJMZFrZosxC4zj2+Elis3hnYhcBsN5NvFJAHLAsX0/VZ4mLgYj7XmTFU9W5VzVHVXBd/sapeE6mNYrqnAzUN/P2tddyc+iKMmd4zbrLYEenDaMg5g5mJ7/DMilK/szFxKGrFyp0fugVYhDer7klVXSMiPxORy1yzR4AsESkGbgfucn3XAE8Ca4GXgJtVtSlcTBfrTuB2FyvLxe7wGNHZGqa7e/jtzVze+CLpgf1w7lHf0jBAypRZjEnYxZoVNivQdJzYf5rIKCgo0MLCQr/TMD6orK5n1r3z+WfiHfQaezZc/Q+/U4pNNRUE/juPhxpmUPD1P1KQ2wOvl2iOIiLLVbXNQxF2BQtjjtFDb27iR/yFlKQE+Nxv/U4ndqVlEhh9HjMT32XBB1v9zsbEGStWxhyDskN1HHhvDuckrCLhgp9Cxgi/U4ppSVOvYahUUPnxv6isrvc7HRNHrFgZcwwefek97pS/cXjY6VBwQ9sderrxn6Mx7Ti+zCvM+2B72+2NcaxYGdNJW8qqmLrq56QlNND7ij9Bgv05tSkxmaSC6zg38SNefHsph+ttTpNpH/vrMqaTFj/1IBckFFJ39t2QNcbvdOLHydchksDna59nznslfmdj4oQVK2M6YVVRMTN3/Z7dffPp+5lv+51OfOmfg5wwi2uTFzN/yQr2VdX5nZGJA1asjOkgVeXAM9+lv9SQPvshSExqu5M50jnfI0XrmN20kF+9uN7vbEwcsGJlTAd9/No8zqp9nTVjvkFazgl+pxOfBuYhk77I15Jf4Y3lq1i2pcLvjEyMs2JlTAc0VleS/c49bEoYycQv/8TvdOLb+f9BsjTx87T5/Mezq6hvtNvem/CsWBnTAVvn3s6AQCW7z/0NySm9/E4nvmWORqZ9m4sCbzKk7B3+8sYmvzMyMcyKlTHtdHj9K4wpfZqFfa5g2tkX+J1O93DO92DQBO7v/RB/X1xI8V67OaMJzYqVMe1xeD+NT99EcWAYI6/4Bd7Nps0xS+4NVz5KPznMH5P/wH8sWE4gYNcrNUezYmVMOxz+552k1ZXx1MgfMHXMUL/T6V6Oy0cuu58C1nLtrl/yxHub/c7IxCArVsa0pegleq+Zx18CM/nyzC/4nU33NHkWeuEvuSRxGf1fvpUdFVV+Z2RijBUrY1pTtZf6Z29hXWAElafcTu7APn5n1G3JtFs4cPr3mSlvseWR69GmRr9TMjHEipUx4TQ10vjk9QQOH+BXabfznRkT/c6o2+s/4wesGHMTZ1W/wsaHvwYBu3ag8VixMiaM+ld+QtK2d/iPxhu46UuXkZZiV6roCidd8588N+A6xu1aSPnfvwkB+/6VsWJlTEj733iAlPf/yBNNn2XaF2/htNFZfqfUY4gI533ztzyW/GUGFv+DqgU3WcEy0S1WIjJDRIpEpFhE7gqxPlVE5rv1S0UkN2jd3W55kYhc1FZMERnlYmx0MVM6M4aIDBeRJSKyTkTWiMit0dg2JnbtfO1PpC/5AYspYOQ19/PFqTl+p9TjpPdKZtrXf8uDXEnftXOpffZboDalvSeLWrESkUTgAeBiIB+4SkTyWzS7AahU1bHAfcC9rm8+MBuYCMwA/iQiiW3EvBe4T1XzgEoXu8NjAI3Ad1V1AnA6cHOIvE13FAiw8x93MOytu3k/4SRGfGMuZx9v09T9Mu64fky99tc8EPgCvT5+gobXful3SsZH0dyzOhUoVtXNqloPzANmtmgzE5jjHi8Apov3bcuZwDxVrVPVLUCxixcyputzvouBi3l5Z8ZQ1V2qugJAVQ8B64DsCG0TE6saDrPnkdkMW/MQzyVfTO4tCxmbPdjvrHq8U0dnMWbWf/Fk07kkv/3fHF72N79TMj6JZrHKBoLvW13K0W/6n7RR1UbgAJDVSt9wy7OA/S5Gy7E6OsYn3CHDk4Clbb5aE7+q9rLvgQsZVPoyj/T5OmffOodhmf38zso4M04YSp8r/sDbgUkkv3Ab+1a97HdKxgfRLFahrkfT8qBzuDaRWt6ZMbxOIn2Bp4DbVPVgiLaIyI0iUigihWVlZaGamFhXVsTB+z9DWuV6/jDwh8z+9r1k9k31OyvTwuemjCRw5d/YrMNIeeo6li17x++UTBeLZrEqBYYHPc8BdoZrIyJJQH+gopW+4ZaXAxkuRsuxOjoGIpKMV6j+T1WfDvcCVfUhVS1Q1YJBgwaFa2ZiVGDrUg4/OJ26w9XcP/IP3PTv36FPqk1Pj1XnTB5D6nVP0SCpDPvXtfzlX+/adQR7kGgWqw+APDdLLwVvMsPCFm0WAte5x1cCi1VV3fLZbibfKCAPWBYupuuzxMXAxXyuM2O481mPAOtU9XcR2xompjRueIWGxy5jT0MaT0x8mO9eP5uUJPsmR6wbOfp4+nztKQYnVHHG0pu4Zc5bVNXZlS56gqj9dbrzQ7cAi/AmKTypqmtE5Gcicplr9giQJSLFwO3AXa7vGuBJYC3wEnCzqjaFi+li3Qnc7mJludgdHgM4E/gqcL6IrHQ/l0RhExmf1H/0D/j7bDY1Hccrp/+N22ZdQEKCXUU9XqSOOJnkL/+VSQlbuX7LHVz/wMvs3H/Y77RMlInadxcioqCgQAsLC/1Ow7Th8Hv/S+qiO1geGMemCx5h9tl2W/q4tfopAk9/ky1Ng/lB8ve45/ovMjknw++sTAeJyHJVLWirnR33MD2DKhUv/ie9F32PNwJTKL98nhWqeDfpChK++jQj0+qY0/h9ljz0PRZ9WOx3ViZKrFiZbq+psZENf/0mmUvv5QU5mz7XzuPiqaP9TstEwqhzSLr5Pci7iFsT/sHUZ8/jxT/fwaH9+/zOzESYFSvTbdU2NPH02x+z9L9mMG7bfJ7vM4vJ35rHqWOH+J2aiaS+g0m9+v9ouH4RVRkTuHjPQ8j/TGL1nO9Qs2+H39mZCLFzVhFi56xix4GaBua9u5597z7ODU3zyZQqNky5m/yZ37Xb0fcAa5e/SeXL/80ZtW/RQBIfZl1C+vTvkj/xRL9TMyG095yVFasIsWLlv/KqOp585W16r3yUL7KY/lLDocwT6DvrAWSovVH1JKrKmlUrqF5yHydVvEgiTazN/Czjr/whydn2fyGWWLHqYlas/FNZXc+CF19m+Ko/cCHLUBGqRn+O/ud+C4afCrY31aNVlW3j4wX/xeTdT9NXaqkbcxGpl/4aBuT6nZrBilWXs2Llj1fX7Gb1gl9wU+DvNCX2ovak/8eAz9wE6cP8Ts3EmJc+WEfR87/j6wkLSU2EhOk/IuGMm+zDjM9s6rrp9p5dUcqWubdzmz5O7eiL6P291Qz4/C+sUJmQZpwygQv+7bd8M/3PLKnPJ+Hle9j0v9dwuLbO79RMO1ixMnFp/e6DrH3mV3wj6V80nPx10q/9O6Rl+p2WiXH5w9KZc9sXOHzFE/w97WrG7Pwn7/zmSjbtDXmtahNDrFiZuKOq/O3Jf/D9xL9TN/Ziki/9jR3KMe2WmCBcNiWbq+54gC0nfpfPNr7JkofuoOyQ7WHFMitWJu4sWbuD68p/R22vwaRe8aAVKtMpIsKoy39IZd4V/L+G+cyfbzd2jGVWrEzc2fXyfRyfUEqvmb+F3nYtOHMMRBgw6372p43g8u2/onDD9rb7GF9YsTJxpWRzEZfvf5wtWeeQNOFzfqdjuoOUNPrM+jPDZB+Vz/+H39mYMKxYmbhSs/BOElDSv/Bbv1Mx3Ujq6DNZNexLTD/4HCUfLvY7HROCFSsTN2rXLSJ//xJeHXQtWTnj/E7HdDMjv/QrdpNFrxdvg0abbBFrrFiZ+FBfTePC77ApMJTjLvqu39mYbigjI5MlY+9iSP1Wql77b7/TMS1YsTJxQV//FX0P7+DB9G9xytihfqdjuqmzL7ma55vOoNf7/wNlRX6nY4JYsTKxr+QdeO8B5jaex9RzPm9XTjdRMyIrjbfGfI8qTaXpqW9Aw2G/UzKOFSsT2w6Uogu+xq6EoTyQfD2XT8n2OyPTzX35vJP5bv03Sdz9ETx/KwQCfqdkiHKxEpEZIlIkIsUicleI9akiMt+tXyoiuUHr7nbLi0TkorZiisgoF2Oji5kS6TFMFyvfCI9dSmNtNdfXfIsbL5xC75REv7My3dzJIweQPOFz/D4wCz6eD8/+G9TX+J1Wjxe1YiUiicADwMVAPnCViOS3aHYDUKmqY4H7gHtd33xgNjARmAH8SUQS24h5L3CfquYBlS52pMcw0RZogr3r4NWfon85h7rq/Xy1/k56Z0/iqlNH+J2d6SF+fFk+f0v6Eg8lfQU+no8+eCYsnwOHdvudWo+VFMXYpwLFqroZQETmATOBtUFtZgI/cY8XAPeLd0JiJjBPVeuALSJS7OIRKqaIrAPOB77i2sxxcf8cqTFa5B0x7/7+OvpXbwE+vVWLoChw5JkZb73oke1a+nRZiHZH9CV8u+B4rs+R65qXhcgvVLugRa3ll0CAQYFyUmgggPAKp/Hj2qvJHDqKv15bQHKiHbU2XWNo/97MueE0vj4nkSX1o/h5xeOMff7bAByUdA4m9OdwQh8CJKAiKIKS4P3bw86pNpJE/h2vkJIU3b/PaBarbCD42iWlwGnh2qhqo4gcALLc8vdb9G0+WREqZhawX1UbQ7SP1BhHEZEbgRsBRozo3Kd+0SZEm5qfHVEBjiwJ3h+E9zREqTniD0TcuhDLjvg7aqVd8DLhiGUSvF6Cczn6j1SD8v80XqhxveerkwexO3kEa9JOITkjmx+MzuLiSUNIskJlutik7P689t3P8OzKsTy49UL6VaxiVM0qhjVuo0+git6BaleeAt5fpyoJNBHiM1+3pqLu43V0RbNYhfp40fIVhWsTbnmod6zW2kdyjKMXqj4EPATezRdDtWnLGbc90Zluxpgu0Cc1iatPG8nVp40EpvidTo8WzY+rpcDwoOc5wM5wbUQkCegPVLTSN9zyciDDxWg5VqTGMMYY45NoFqsPgDw3Sy8FbzLDwhZtFgLXucdXAotVVd3y2W4m3yggD1gWLqbrs8TFwMV8LpJjRGibGGOM6YSoHQZ054duARYBicCjqrpGRH4GFKrqQuAR4HE3uaECrzDg2j2JN6mhEbhZ1TuxEyqmG/JOYJ6I/AL40MUmwmMYY4zxgaj2sLOBUVJQUKCFhYV+p2GMMXFFRJarakFb7WyKlTHGmJhnxcoYY0zMs2JljDEm5lmxMsYYE/NsgkWEiEgZsLWVJgPxvg8W6+IhT8sxcuIhT8sxMmIxx3IAVZ3RVkMrVl1ERArbM+PFb/GQp+UYOfGQp+UYGfGQY2vsMKAxxpiYZ8XKGGNMzLNi1XUe8juBdoqHPC3HyImHPC3HyIiHHMOyc1bGGGNinu1ZGWOMiXlWrIwxxsQ+VbWfKP8AM4AioBi4K4rjlACrgJV4V7YHyAReATa6fwe45QL8weX0MTA1KM51rv1G4Lqg5Se7+MWur7Q2hlv3KLAXWB20zLecQo0RJsefADvctlwJXBK07m7Xvwi4qK3fMzAKWOpymQ+kuOWp7nmxW58bbgy8e6wtAdYBa4BbY3RbhsszlrbnpXi3A/rI5fjTSP2eIpj78WFyfAzYErQdp/j5++7S99GuHKwn/uDdZmQTMBpIcf/58qM0VgkwsMWyXzf/sQB3Afe6x5cAL7r/gKcDS93yTGCz+3eAe9z8n3UZcIbr8yJwcWtjuOfn4L2JrY6FnEKNESbHnwDfC7GN893vMBXvjWeT+x2H/T0DTwKz3eMHgX93j28CHnSPZwPzWxkju/nNAegHbHDtYm1bDg2TZ6xtz3S3LtnlfXqE4kYsd6BviBwfA64MsR19+X136XtpVw7WE3/cf4ZFQc/vBu6O0lglHF2sioCh7vFQoMg9/gtwVct2wFXAX4KW/8UtGwqsD1r+SbtwYwS1zeXIQuBbTq2M0TLHnxD6zfWI3x/efc/OCPd7dn/Y5UBSy/8PzX3d4yTXTsKN0SKP54ALYnFbhskzJrcnkAasAE6LVNxI5h4ix8cIXaxi4vcdzR87ZxV92cD2oOelblk0KPCyiCwXkRvdsuNUdReA+3dwG3m1trw0xPLWxgjHz5w68vu4RUQ+FpFHRWRAJ3PMAvaramOI8T7p49YfcO1bzVFEcoGT8D5tx+y2bJEnxNb2HC7y/9s7/xi5qiqOf764WtGqCIo22URASakhpKxaoOsAAAaJSURBVGqL1VZqtalANII2QgJS1ITE1BiN1B/ZxoQE/xCihAg2SghFIZW0VCX800KhITEQCrTSYgWRYmKowEYEBVNxOf5x7rCP8c2P3c7svqTfT7KZmfPuvefMfXlz9p57c472kOHfO8iV0KDu06Bsf2fVxohozeMPyjxeJWnONOdx2M/OwLGzGj6qkcWQdC2NiA8CZwFrJZ3RpW0nu6YqHyQzYVO/fTYA7wUWAgeBHw3Bxin3kTQXuBX4RkS8UNOuxazOZY2dTZvPiYhYCIwCpwMLBjTuIG1/jY2STiVXaKcAi8nQ3ncGbGM3ZvK37P+wsxo+fyU3nVuMAk8NQ1FEPFVenwF+TT6ET0uaB1Ben+lhVzf5aI2cLjo6MZs29XU/IuLpiJiIiFeA68i5nI6N48AxkkZq9L3ap1x/G/D3TmNJej3pAG6OiK3T/J5Dn8s6O5s4n8WufwA7yT2YQY07SNurNp4ZEQcjOQTcwPTncWjPzrCwsxo+u4CTJZ0o6Q3k5ultg1Yi6c2S3tJ6D6wC9hVda0qzNeQeAkV+kZIlwPNlyb8NWCXp7SVUs4qMqx8E/ilpiSQBF7WNVaejE7NpUycd7fM5r/Lx3DKXrf7nS5oj6UTgZHKjuvY+Rwb37wZWd7ClZeNq4K7SvpOO64H9EfHjps4l8Lc6Oxs2n/PJ/RYkHQ2sJE8vDuo+DcL235EOq2rjHytORMA5bfPYiGdnaMzU5tiR/EeeonmMjIuPDUnHSeSpo9ZR17EiPw7YQR5D3QEcW+QCri027QUWVcb6Mnk89XHgSxX5IvLh+DNwDZMbwLU6yrVNZNjnZfI/s6/Mpk11OjrY+Mty/WHyIZ1X0TlW+j9KOUHV7T6Xe3N/sX0zMKfI31g+P16un9RJB7CMDLk8TOX4dwPnspOdTZrPrwK7iy37gO8P6j4N0PazOth4V5nHfcBNTJ4YnJX7PZO/o063ZIwxpvE4DGiMMabx2FkZY4xpPHZWxhhjGo+dlTHGmMZjZ2WMMabx2FkZY4xpPHZWxkwBSWOSHim52fZI+rCknZIWlesnSPqTpE916P9xSbeX9xdLelbS7tJnm6SP9tC/UdKBovshSR+pkf9e0icrfXZKerRc2yNpS7Hj3raxRyS9mr3AmCYx0ruJMQagOIZPkyUwDkl6B1kConV9lMwY8K2I2NbnsLdExNdK/xXAVkkrImJ/lz7rImKLpFVkJuzT2uQrgJ+TGRVaXBARD1RsPQoYlXRCRDxZxCvJzPMzl5XAmD7xysqY/pkHjEfmZSMixqPkYwTeDWwH1kfEtNJpRcTdpJO5pFfbwj3A+2rk99IjG3Zkjr7NwHkV8flkNo9aygrtKkn3SNovabGkrWVVeHml3YWS7i+ruJ9Jel2Rb5D0QFmZXlZp/6Sky8pKca+kU/r69uaIws7KmP7ZTpaWeEzSTyUtr1z7BXBNRGw+TB0PkVm1++EzZNqbds4EftMmu7kSBryyyDaRDgplqYmzyQS03fhPRJxBFg78LbAWOBW4WNJxkhaQDnBpZMbwCeCC0ncsIhaRK8Hlkk6rjDseWTFgA3Bpry9ujjwcBjSmTyLiX5I+BHwMWAHcIum75fKdwBclbYyIlw5DTV0ZhnaulLQeeJbMY1iVX0HWH1rS1uc1YUCAiNglaa6k+WSJjPsi4rkeulurxr3AI62QoaQnyIzcy8hy6bsyPypHM5m1+wvKOmsj5Cr1/WTuO4BWFvkHgc/1sMEcgdhZGTMFImKCLNewU9JeJrNTXwFcCGyW9NmYLLA3VT5AZgDvxrqI2FInJ3/0vw7cSDqNXvyKXF0toEsIsMKh8vpK5X3r8wjpbG+MiO9VO5Ws5JcCiyPiOUkbyeSt7eNO4N8lU4PDgMb0iaT5kqqHFhYCf6l8/ibwAnB9Kbsw1fGXk/tV103XxrIXdTVwVKcTiW1sIp3sJxhM6ZodwGpJxwNIOlbSe4C3Ai8Cz0t6F5lV3Ji+8X8wxvTPXOAnko4B/kuWXLgE2AIQESFpDXA7udJa18eY50laBrwJOAB8vsdJwJ4UOy4Hvk2eToTcs/p3eT8eEStL2z9Iegl4MCJePBy9lfHWA9vLicOXgbURcZ+k3WT5mifIek3G9I1LhBhjjGk8DgMaY4xpPA4DGjMEyn7RD9vEByLi3D77XwssbRNfHRE3DMK+puo2phMOAxpjjGk8DgMaY4xpPHZWxhhjGo+dlTHGmMZjZ2WMMabx/A8T9NF6O8tYtwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8f4938048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8f6bfa4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8f4cd50f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8f4e7d550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feature_vs_y(train.SK_ID_PREV_min, train.TARGET)\n",
    "feature_vs_y(train.SK_ID_PREV_mean, train.TARGET)\n",
    "feature_vs_y(train.SK_ID_PREV_max, train.TARGET)\n",
    "feature_vs_y(train['SK_ID_PREV_std-d-mean'], train.TARGET)\n",
    "feature_vs_y(train['SK_ID_PREV_max-m-min'], train.TARGET)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-30T04:14:41.530183Z",
     "start_time": "2018-07-30T04:13:32.605916Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8f58d7320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8f5d9d668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8f7162080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8f6f4a6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb8f6de27f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feature_vs_y(train.SK_ID_BUREAU_min, train.TARGET)\n",
    "feature_vs_y(train.SK_ID_BUREAU_mean, train.TARGET)\n",
    "feature_vs_y(train.SK_ID_BUREAU_max, train.TARGET)\n",
    "feature_vs_y(train['SK_ID_BUREAU_std-d-mean'], train.TARGET)\n",
    "feature_vs_y(train['SK_ID_BUREAU_max-m-min'], train.TARGET)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
